Clavaria falcata has a destinct ‘stipe’, which is usually almost translucent white, where as C. vermicularis has no destinct ‘stipe’. Here’s my spotting of C. falcata, so you can see what I mean: http://mushroomobserver.org/202161
With this in mind, I think your first photo is not C. falcata, but C. vermicularis or C. fragilis. I don’t know the difference between those two species though.